Who’s Side Are You On? Solving Algebra Equations with Variables on Both Sides

How do I solve this problem? 6x – 8 = 4x + 2 Let’s Check the Rules

RULES # 1 – Variables (letters) on the left #2 – Constants (numbers) on the right

ALWAYS FOLLOW THE RULES IF IT’S ON THE WRONG SIDE CHANGE THE SIGN PUT IT ON BOTH SIDES THEN BRING IT ALL DOWN

LEFT SIDE FIRST 6x – 8 = 4x x =-4x 2x – 8 = 2

RIGHT SIDE NEXT 2x – 8 = 2 2x = = +8

WHEN EVERYONE IS ON THE RIGHT SIDE LEAVE IT ALONE OR JUST DIVIDE!

SOLVE THE EQUATION 2x = 10 ÷2 = ÷ 2 x = 5

NOW YOU TRY

HERE’S YOUR PROBLEM 10y – 1 = 3y + 20 LET’S REVIEW THE RULES

RULES # 1 – Variables (letters) on the left #2 – Constants (numbers) on the right

LEFT SIDE 10y – 1 = 3y y =-3y 7y – 1 = 20

RIGHT SIDE 7y = = +1 7y – 1 = 20

DIVIDE y = 3 ÷7 = ÷7 7y = 21

THE END GREAT JOB!

CREDITS Director/Writer/Producer: – Tynisa Williams, AUM Math Problem: – Prealgebra & Introductory Alglebra by Elayn Martin- Gay – Pearson Higher Education downloadable files – Prealgebra-Introductory- Algebra/ page Prealgebra-Introductory- Algebra/ page